1252341004200 has 576 divisors, whose sum is σ = 4692865351680. Its totient is φ = 273716352000.

The previous prime is 1252341004169. The next prime is 1252341004219. The reversal of 1252341004200 is 24001432521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47949145 + ... + 47975255.

It is an arithmetic number, because the mean of its divisors is an integer number (8147335680).

Almost surely, 2^{1252341004200} is an apocalyptic number.

1252341004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252341004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346432675840).

1252341004200 is an abundant number, since it is smaller than the sum of its proper divisors (3440524347480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1252341004200 is a wasteful number, since it uses less digits than its factorization.

1252341004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26210 (or 26188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1252341004200 its reverse (24001432521), we get a palindrome (1276342436721).

The spelling of 1252341004200 in words is "one trillion, two hundred fifty-two billion, three hundred forty-one million, four thousand, two hundred".